x^2-8x=-3x^2-8x+25

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Solution for x^2-8x=-3x^2-8x+25 equation: 


Simplifying
x2 + -8x = -3x2 + -8x + 25

Reorder the terms:
-8x + x2 = -3x2 + -8x + 25

Reorder the terms:
-8x + x2 = 25 + -8x + -3x2

Add '8x' to each side of the equation.
-8x + 8x + x2 = 25 + -8x + 8x + -3x2

Combine like terms: -8x + 8x = 0
0 + x2 = 25 + -8x + 8x + -3x2
x2 = 25 + -8x + 8x + -3x2

Combine like terms: -8x + 8x = 0
x2 = 25 + 0 + -3x2
x2 = 25 + -3x2

Solving
x2 = 25 + -3x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x2' to each side of the equation.
x2 + 3x2 = 25 + -3x2 + 3x2

Combine like terms: x2 + 3x2 = 4x2
4x2 = 25 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
4x2 = 25 + 0
4x2 = 25

Divide each side by '4'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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